Show that the following fractions are in their simplest form:
`7/(15)`

Answer

To show that the fraction \( \frac{7}{15} \) is in its simplest form, we will follow these steps:

### Step 1: Identify the numerator and denominator
The numerator of the fraction is 7, and the denominator is 15.

### Step 2: Find the factors of the numerator
The factors of 7 are:
- 1
- 7

### Step 3: Find the factors of the denominator
The factors of 15 are:
- 1
- 3
- 5
- 15

### Step 4: Determine the common factors
Now, we will find the common factors of 7 and 15. The common factors are:
- 1

### Step 5: Find the highest common factor (HCF)
The highest common factor (HCF) of 7 and 15 is 1.

### Step 6: Conclusion
Since the highest common factor of the numerator and denominator is 1, we can conclude that the fraction \( \frac{7}{15} \) is in its simplest form.

### Final Answer
The fraction \( \frac{7}{15} \) is in its simplest form.

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